Free · Printable · TEKS 8.2B · Number & Operations
TEKS 8.2B Worksheets — Grade 8 Approximate the value of an irrational number
463+ Texas-aligned practice questions on this exact Grade 8 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.
What TEKS 8.2B says: Approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line.
This page has 463+ practice questions tagged specifically to TEKS 8.2B. Below: a sample of 8 with answers and explanations so you can preview the worksheet before printing. Every question goes through an AI quality gate (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing.
Cognitive demand: medium. Typical question shape: Place √50 between consecutive integers.
√10 is between which pair of integers?
- 2 and 3
- 9 and 16
- 4 and 5
- 3 and 4 ✓
Why: 3² = 9 and 4² = 16. Since 9 < 10 < 16, √10 is between 3 and 4.
√133 is between which pair of integers?
- 12 and 13
- 11 and 12 ✓
- 10 and 11
- 121 and 144
Why: 11² = 121 and 12² = 144. Since 121 < 133 < 144, √133 is between 11 and 12.
Estimate √38. It lies between which two integers?
- 36 and 49
- 5 and 6
- 6 and 7 ✓
- 7 and 8
Why: 6² = 36 and 7² = 49. Since 36 < 38 < 49, √38 is between 6 and 7.
Estimate √183. It lies between which two integers?
- 169 and 196
- 13 and 14 ✓
- 12 and 13
- 14 and 15
Why: 13² = 169 and 14² = 196. Since 169 < 183 < 196, √183 is between 13 and 14.
√188 is between which pair of integers?
- 169 and 196
- 14 and 15
- 13 and 14 ✓
- 12 and 13
Why: 13² = 169 and 14² = 196. Since 169 < 188 < 196, √188 is between 13 and 14.
Between which two consecutive integers does √138 lie?
- 11 and 12 ✓
- 12 and 13
- 10 and 11
- 121 and 144
Why: 11² = 121 and 12² = 144. Since 121 < 138 < 144, √138 is between 11 and 12.
Estimate √132. It lies between which two integers?
- 121 and 144
- 12 and 13
- 11 and 12 ✓
- 10 and 11
Why: 11² = 121 and 12² = 144. Since 121 < 132 < 144, √132 is between 11 and 12.
Estimate √181. It lies between which two integers?
- 13 and 14 ✓
- 14 and 15
- 169 and 196
- 12 and 13
Why: 13² = 169 and 14² = 196. Since 169 < 181 < 196, √181 is between 13 and 14.
Common questions about TEKS 8.2B
What is TEKS 8.2B?
TEKS 8.2B is a Grade 8 Number & Operations standard from the Texas Essential Knowledge and Skills. The standard says: Approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line.
How many TEKS 8.2B practice questions are available?
463+ practice questions tagged to TEKS 8.2B. All free to print or practice online. We pull a fresh set each time you print a worksheet so your kid doesn't see the same questions twice.
What kind of questions test TEKS 8.2B on the STAAR?
Place √50 between consecutive integers. TEKS 8.2B is a medium-cognitive-demand standard — 1-2 step questions are typical.
Where do these questions come from?
Generated by our AI pipeline, then independently quality-gated by two cross-vendor models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 8.2B and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.